What is the Least Common Multiple of 25230 and 25248?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 25230 and 25248 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25230 and 25248, than apply into the LCM equation.

GCF(25230,25248) = 6
LCM(25230,25248) = ( 25230 × 25248) / 6
LCM(25230,25248) = 637007040 / 6
LCM(25230,25248) = 106167840

Least Common Multiple (LCM) of 25230 and 25248 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25230 and 25248. First we will calculate the prime factors of 25230 and 25248.

Prime Factorization of 25230

Prime Factorization of 25248

Now multiplying the highest exponent prime factors to calculate the LCM of 25230 and 25248.

LCM(25230,25248) = 2⁵ × 3¹ × 5¹ × 29² × 263¹
LCM(25230,25248) = 106167840